Hodgson is scheduled to announce his final panel for the trip to Brazil on May 12, and Jagielka says that the 20-year-old's "gentle reminder" of his talent may have earned him a spot on the plane.
"His performance can't have done him any harm," he told Sky Sports News. "And it's always nice to give a gentle reminder just before the squad is going to be announced.
"I don't think the performance he put in was going to be make or break - I think Roy has got a pretty good idea whether he is going to be on the plane or not - but if there was any inkling of what ability he has got; I think his goal was great and I think the performance on a whole that he put in was great.
"We are always telling Ross he needs to get involved in the games as much as possible and I think today he has had as many touches as I have seen him."
Barkley made his international debut in the 4-0 World Cup qualifying win over Moldova last August.